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Finding the Third Proportional to 100,953,006,016.35 and 218,024,763,648.91

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Solution

The third proportional to 100,953,006,016.35 and 218,024,763,648.91 is: 470,860,645,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953,006,016.35 : 218,024,763,648.91 = 218,024,763,648.91 : x
  2. Step 2: Convert to fraction form
    100,953,006,016.35/218,024,763,648.91 = 218,024,763,648.91/x
  3. Step 3: Cross multiply
    100,953,006,016.35x = 218,024,763,648.91 × 218,024,763,648.91
  4. Step 4: Simplify right side
    100,953,006,016.35x = 47,534,797,564,163,072,720,896
  5. Step 5: Solve for x
    x = 47,534,797,564,163,072,720,896/100,953,006,016.35
  6. Step 6: Final answer
    x = 470,860,645,362.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.